An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols (like +, -, *, /). It does not have an equality sign.

Translating a phrase into an algebraic expression means converting a verbal statement into a mathematical form using variables and numbers.

A variable is a symbol (often a letter) that represents an unknown number in an algebraic expression.

In algebra, 'a number' is often represented by a variable, such as n, x, or m.

'Added to' indicates addition. For example, 'a number added to 19' translates to 'n + 19'.

'Less than' indicates subtraction. For example, '8 less than a number' translates to 'n - 8'.

The product of 4 and a number is expressed as '4n' or '4m', where n or m is the variable representing the number.

'The difference of' indicates subtraction. For example, 'the difference of a number and six' translates to 'n - 6'.

'Five times a number' is expressed as '5n', where n is the variable representing the number.

'Increased by' indicates addition. For example, 'five times a number increased by 9' translates to '5n + 9'.